Linear Inequalities and Systems of Linear Inequalities

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤).
2.
FLASHCARD QUESTION
Front
What does the solution set of a linear inequality represent?
Back
The solution set of a linear inequality represents all the points (x, y) that satisfy the inequality.
3.
FLASHCARD QUESTION
Front
Are the points on the boundary line part of the solution set for a '≥' or '≤' inequality?
Back
Yes, the points on the boundary line are part of the solution set for '≥' or '≤' inequalities.
4.
FLASHCARD QUESTION
Front
Are the points on the boundary line part of the solution set for a '>' or '<' inequality?
Back
No, the points on the boundary line are NOT part of the solution set for '>' or '<' inequalities.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
The graphical representation of a linear inequality is a shaded region on one side of the boundary line, indicating all the solutions.
6.
FLASHCARD QUESTION
Front
What does a dashed line indicate in the graph of a linear inequality?
Back
A dashed line indicates that the points on the line are NOT included in the solution set (for '>' or '<' inequalities).
7.
FLASHCARD QUESTION
Front
What does a solid line indicate in the graph of a linear inequality?
Back
A solid line indicates that the points on the line ARE included in the solution set (for '≥' or '≤' inequalities).
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